Properties

Label 384.2.w.a.203.5
Level $384$
Weight $2$
Character 384.203
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 203.5
Character \(\chi\) \(=\) 384.203
Dual form 384.2.w.a.227.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.38570 - 0.282536i) q^{2} +(0.297411 - 1.70633i) q^{3} +(1.84035 + 0.783022i) q^{4} +(-1.06178 + 1.98646i) q^{5} +(-0.894221 + 2.28043i) q^{6} +(1.02659 + 0.204202i) q^{7} +(-2.32894 - 1.60500i) q^{8} +(-2.82309 - 1.01496i) q^{9} +O(q^{10})\) \(q+(-1.38570 - 0.282536i) q^{2} +(0.297411 - 1.70633i) q^{3} +(1.84035 + 0.783022i) q^{4} +(-1.06178 + 1.98646i) q^{5} +(-0.894221 + 2.28043i) q^{6} +(1.02659 + 0.204202i) q^{7} +(-2.32894 - 1.60500i) q^{8} +(-2.82309 - 1.01496i) q^{9} +(2.03256 - 2.45265i) q^{10} +(3.73656 + 4.55301i) q^{11} +(1.88343 - 2.90735i) q^{12} +(1.37071 + 2.56441i) q^{13} +(-1.36486 - 0.573012i) q^{14} +(3.07376 + 2.40254i) q^{15} +(2.77375 + 2.88206i) q^{16} +(-0.811719 + 0.336225i) q^{17} +(3.62521 + 2.20406i) q^{18} +(-3.88118 - 1.17734i) q^{19} +(-3.50949 + 2.82437i) q^{20} +(0.653754 - 1.69097i) q^{21} +(-3.89137 - 7.36483i) q^{22} +(5.89204 + 3.93693i) q^{23} +(-3.43131 + 3.49659i) q^{24} +(-0.0407831 - 0.0610362i) q^{25} +(-1.17486 - 3.94079i) q^{26} +(-2.57147 + 4.51526i) q^{27} +(1.72939 + 1.17964i) q^{28} +(4.65152 - 5.66790i) q^{29} +(-3.58051 - 4.19766i) q^{30} +(-1.43245 + 1.43245i) q^{31} +(-3.02931 - 4.77737i) q^{32} +(8.88020 - 5.02167i) q^{33} +(1.21980 - 0.236568i) q^{34} +(-1.49566 + 1.82246i) q^{35} +(-4.40074 - 4.07842i) q^{36} +(4.85815 - 1.47370i) q^{37} +(5.04552 + 2.72802i) q^{38} +(4.78339 - 1.57619i) q^{39} +(5.66110 - 2.92219i) q^{40} +(-5.92688 - 3.96021i) q^{41} +(-1.38367 + 2.15847i) q^{42} +(8.34816 + 0.822222i) q^{43} +(3.31145 + 11.3049i) q^{44} +(5.01369 - 4.53029i) q^{45} +(-7.05229 - 7.12014i) q^{46} +(5.52710 - 2.28940i) q^{47} +(5.74268 - 3.87577i) q^{48} +(-5.45497 - 2.25952i) q^{49} +(0.0392683 + 0.0961007i) q^{50} +(0.332296 + 1.48505i) q^{51} +(0.514586 + 5.79271i) q^{52} +(7.96196 + 9.70168i) q^{53} +(4.83902 - 5.53027i) q^{54} +(-13.0118 + 2.58820i) q^{55} +(-2.06313 - 2.12325i) q^{56} +(-3.16323 + 6.27240i) q^{57} +(-8.04702 + 6.53980i) q^{58} +(-4.52219 + 8.46043i) q^{59} +(3.77554 + 6.82834i) q^{60} +(4.37165 - 0.430569i) q^{61} +(2.38967 - 1.58023i) q^{62} +(-2.69091 - 1.61843i) q^{63} +(2.84795 + 7.47591i) q^{64} -6.54950 q^{65} +(-13.7241 + 4.44956i) q^{66} +(-0.598402 - 6.07568i) q^{67} +(-1.75712 - 0.0168231i) q^{68} +(8.47005 - 8.88285i) q^{69} +(2.58745 - 2.10282i) q^{70} +(-12.4452 - 2.47550i) q^{71} +(4.94581 + 6.89485i) q^{72} +(-0.913511 - 4.59253i) q^{73} +(-7.14833 + 0.669514i) q^{74} +(-0.116277 + 0.0514364i) q^{75} +(-6.22083 - 5.20577i) q^{76} +(2.90618 + 5.43708i) q^{77} +(-7.07369 + 0.832652i) q^{78} +(-3.71073 + 8.95849i) q^{79} +(-8.67023 + 2.44982i) q^{80} +(6.93972 + 5.73065i) q^{81} +(7.09399 + 7.16223i) q^{82} +(-5.51799 - 1.67386i) q^{83} +(2.52720 - 2.60006i) q^{84} +(0.193974 - 1.96945i) q^{85} +(-11.3358 - 3.49801i) q^{86} +(-8.28786 - 9.62271i) q^{87} +(-1.39465 - 16.6009i) q^{88} +(-3.19254 - 4.77797i) q^{89} +(-8.22746 + 4.86109i) q^{90} +(0.883499 + 2.91250i) q^{91} +(7.76069 + 11.8589i) q^{92} +(2.01820 + 2.87025i) q^{93} +(-8.30577 + 1.61083i) q^{94} +(6.45972 - 6.45972i) q^{95} +(-9.05270 + 3.74815i) q^{96} +(-4.81404 - 4.81404i) q^{97} +(6.92057 + 4.67225i) q^{98} +(-5.92753 - 16.6460i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{32}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.38570 0.282536i −0.979840 0.199783i
\(3\) 0.297411 1.70633i 0.171710 0.985148i
\(4\) 1.84035 + 0.783022i 0.920173 + 0.391511i
\(5\) −1.06178 + 1.98646i −0.474845 + 0.888372i 0.524473 + 0.851427i \(0.324262\pi\)
−0.999317 + 0.0369444i \(0.988238\pi\)
\(6\) −0.894221 + 2.28043i −0.365064 + 0.930982i
\(7\) 1.02659 + 0.204202i 0.388015 + 0.0771809i 0.385243 0.922815i \(-0.374118\pi\)
0.00277194 + 0.999996i \(0.499118\pi\)
\(8\) −2.32894 1.60500i −0.823406 0.567453i
\(9\) −2.82309 1.01496i −0.941031 0.338320i
\(10\) 2.03256 2.45265i 0.642753 0.775596i
\(11\) 3.73656 + 4.55301i 1.12661 + 1.37278i 0.918851 + 0.394604i \(0.129118\pi\)
0.207763 + 0.978179i \(0.433382\pi\)
\(12\) 1.88343 2.90735i 0.543699 0.839280i
\(13\) 1.37071 + 2.56441i 0.380166 + 0.711241i 0.997127 0.0757535i \(-0.0241362\pi\)
−0.616961 + 0.786994i \(0.711636\pi\)
\(14\) −1.36486 0.573012i −0.364773 0.153144i
\(15\) 3.07376 + 2.40254i 0.793641 + 0.620334i
\(16\) 2.77375 + 2.88206i 0.693438 + 0.720516i
\(17\) −0.811719 + 0.336225i −0.196871 + 0.0815466i −0.478941 0.877847i \(-0.658979\pi\)
0.282070 + 0.959394i \(0.408979\pi\)
\(18\) 3.62521 + 2.20406i 0.854470 + 0.519501i
\(19\) −3.88118 1.17734i −0.890404 0.270101i −0.188246 0.982122i \(-0.560280\pi\)
−0.702158 + 0.712021i \(0.747780\pi\)
\(20\) −3.50949 + 2.82437i −0.784747 + 0.631549i
\(21\) 0.653754 1.69097i 0.142661 0.368999i
\(22\) −3.89137 7.36483i −0.829643 1.57019i
\(23\) 5.89204 + 3.93693i 1.22857 + 0.820908i 0.988702 0.149897i \(-0.0478941\pi\)
0.239873 + 0.970804i \(0.422894\pi\)
\(24\) −3.43131 + 3.49659i −0.700412 + 0.713739i
\(25\) −0.0407831 0.0610362i −0.00815662 0.0122072i
\(26\) −1.17486 3.94079i −0.230408 0.772853i
\(27\) −2.57147 + 4.51526i −0.494879 + 0.868962i
\(28\) 1.72939 + 1.17964i 0.326824 + 0.222932i
\(29\) 4.65152 5.66790i 0.863766 1.05250i −0.134337 0.990936i \(-0.542890\pi\)
0.998103 0.0615664i \(-0.0196096\pi\)
\(30\) −3.58051 4.19766i −0.653709 0.766385i
\(31\) −1.43245 + 1.43245i −0.257275 + 0.257275i −0.823945 0.566670i \(-0.808232\pi\)
0.566670 + 0.823945i \(0.308232\pi\)
\(32\) −3.02931 4.77737i −0.535512 0.844528i
\(33\) 8.88020 5.02167i 1.54584 0.874160i
\(34\) 1.21980 0.236568i 0.209194 0.0405711i
\(35\) −1.49566 + 1.82246i −0.252812 + 0.308052i
\(36\) −4.40074 4.07842i −0.733456 0.679737i
\(37\) 4.85815 1.47370i 0.798675 0.242275i 0.135537 0.990772i \(-0.456724\pi\)
0.663138 + 0.748497i \(0.269224\pi\)
\(38\) 5.04552 + 2.72802i 0.818492 + 0.442543i
\(39\) 4.78339 1.57619i 0.765955 0.252392i
\(40\) 5.66110 2.92219i 0.895099 0.462038i
\(41\) −5.92688 3.96021i −0.925623 0.618481i −0.00126114 0.999999i \(-0.500401\pi\)
−0.924361 + 0.381518i \(0.875401\pi\)
\(42\) −1.38367 + 2.15847i −0.213504 + 0.333059i
\(43\) 8.34816 + 0.822222i 1.27308 + 0.125388i 0.711886 0.702295i \(-0.247841\pi\)
0.561196 + 0.827683i \(0.310341\pi\)
\(44\) 3.31145 + 11.3049i 0.499221 + 1.70428i
\(45\) 5.01369 4.53029i 0.747397 0.675336i
\(46\) −7.05229 7.12014i −1.03980 1.04981i
\(47\) 5.52710 2.28940i 0.806211 0.333944i 0.0587699 0.998272i \(-0.481282\pi\)
0.747441 + 0.664328i \(0.231282\pi\)
\(48\) 5.74268 3.87577i 0.828885 0.559419i
\(49\) −5.45497 2.25952i −0.779281 0.322789i
\(50\) 0.0392683 + 0.0961007i 0.00555338 + 0.0135907i
\(51\) 0.332296 + 1.48505i 0.0465307 + 0.207949i
\(52\) 0.514586 + 5.79271i 0.0713602 + 0.803304i
\(53\) 7.96196 + 9.70168i 1.09366 + 1.33263i 0.938711 + 0.344706i \(0.112021\pi\)
0.154949 + 0.987922i \(0.450479\pi\)
\(54\) 4.83902 5.53027i 0.658507 0.752575i
\(55\) −13.0118 + 2.58820i −1.75451 + 0.348993i
\(56\) −2.06313 2.12325i −0.275697 0.283732i
\(57\) −3.16323 + 6.27240i −0.418981 + 0.830800i
\(58\) −8.04702 + 6.53980i −1.05662 + 0.858718i
\(59\) −4.52219 + 8.46043i −0.588739 + 1.10145i 0.394459 + 0.918913i \(0.370932\pi\)
−0.983198 + 0.182540i \(0.941568\pi\)
\(60\) 3.77554 + 6.82834i 0.487420 + 0.881535i
\(61\) 4.37165 0.430569i 0.559732 0.0551288i 0.185804 0.982587i \(-0.440511\pi\)
0.373927 + 0.927458i \(0.378011\pi\)
\(62\) 2.38967 1.58023i 0.303488 0.200689i
\(63\) −2.69091 1.61843i −0.339022 0.203903i
\(64\) 2.84795 + 7.47591i 0.355994 + 0.934488i
\(65\) −6.54950 −0.812366
\(66\) −13.7241 + 4.44956i −1.68932 + 0.547704i
\(67\) −0.598402 6.07568i −0.0731064 0.742262i −0.959946 0.280185i \(-0.909604\pi\)
0.886840 0.462077i \(-0.152896\pi\)
\(68\) −1.75712 0.0168231i −0.213082 0.00204010i
\(69\) 8.47005 8.88285i 1.01967 1.06937i
\(70\) 2.58745 2.10282i 0.309259 0.251335i
\(71\) −12.4452 2.47550i −1.47697 0.293788i −0.610103 0.792322i \(-0.708872\pi\)
−0.866870 + 0.498534i \(0.833872\pi\)
\(72\) 4.94581 + 6.89485i 0.582870 + 0.812566i
\(73\) −0.913511 4.59253i −0.106918 0.537515i −0.996703 0.0811346i \(-0.974146\pi\)
0.889785 0.456380i \(-0.150854\pi\)
\(74\) −7.14833 + 0.669514i −0.830976 + 0.0778294i
\(75\) −0.116277 + 0.0514364i −0.0134265 + 0.00593936i
\(76\) −6.22083 5.20577i −0.713578 0.597143i
\(77\) 2.90618 + 5.43708i 0.331190 + 0.619613i
\(78\) −7.07369 + 0.832652i −0.800937 + 0.0942793i
\(79\) −3.71073 + 8.95849i −0.417490 + 1.00791i 0.565583 + 0.824692i \(0.308651\pi\)
−0.983072 + 0.183218i \(0.941349\pi\)
\(80\) −8.67023 + 2.44982i −0.969361 + 0.273898i
\(81\) 6.93972 + 5.73065i 0.771080 + 0.636739i
\(82\) 7.09399 + 7.16223i 0.783400 + 0.790936i
\(83\) −5.51799 1.67386i −0.605678 0.183731i −0.0274741 0.999623i \(-0.508746\pi\)
−0.578204 + 0.815892i \(0.696246\pi\)
\(84\) 2.52720 2.60006i 0.275740 0.283690i
\(85\) 0.193974 1.96945i 0.0210394 0.213616i
\(86\) −11.3358 3.49801i −1.22237 0.377200i
\(87\) −8.28786 9.62271i −0.888552 1.03166i
\(88\) −1.39465 16.6009i −0.148670 1.76966i
\(89\) −3.19254 4.77797i −0.338408 0.506463i 0.622765 0.782409i \(-0.286009\pi\)
−0.961173 + 0.275945i \(0.911009\pi\)
\(90\) −8.22746 + 4.86109i −0.867250 + 0.512404i
\(91\) 0.883499 + 2.91250i 0.0926158 + 0.305313i
\(92\) 7.76069 + 11.8589i 0.809108 + 1.23638i
\(93\) 2.01820 + 2.87025i 0.209277 + 0.297631i
\(94\) −8.30577 + 1.61083i −0.856674 + 0.166144i
\(95\) 6.45972 6.45972i 0.662753 0.662753i
\(96\) −9.05270 + 3.74815i −0.923937 + 0.382544i
\(97\) −4.81404 4.81404i −0.488792 0.488792i 0.419133 0.907925i \(-0.362334\pi\)
−0.907925 + 0.419133i \(0.862334\pi\)
\(98\) 6.92057 + 4.67225i 0.699083 + 0.471968i
\(99\) −5.92753 16.6460i −0.595739 1.67299i
\(100\) −0.0272623 0.144262i −0.00272623 0.0144262i
\(101\) −1.63025 + 0.494532i −0.162216 + 0.0492078i −0.370348 0.928893i \(-0.620762\pi\)
0.208132 + 0.978101i \(0.433262\pi\)
\(102\) −0.0408818 2.15173i −0.00404790 0.213053i
\(103\) 0.240576 0.160748i 0.0237047 0.0158389i −0.543661 0.839305i \(-0.682962\pi\)
0.567366 + 0.823466i \(0.307962\pi\)
\(104\) 0.923585 8.17236i 0.0905649 0.801366i
\(105\) 2.66489 + 3.09410i 0.260067 + 0.301953i
\(106\) −8.29184 15.6932i −0.805375 1.52426i
\(107\) 7.56538 + 0.745125i 0.731373 + 0.0720340i 0.456847 0.889546i \(-0.348979\pi\)
0.274527 + 0.961579i \(0.411479\pi\)
\(108\) −8.26794 + 6.29612i −0.795583 + 0.605845i
\(109\) 0.160317 0.528493i 0.0153555 0.0506205i −0.948928 0.315493i \(-0.897830\pi\)
0.964283 + 0.264873i \(0.0853300\pi\)
\(110\) 18.7617 + 0.0898128i 1.78886 + 0.00856332i
\(111\) −1.06975 8.72788i −0.101536 0.828414i
\(112\) 2.25899 + 3.52511i 0.213454 + 0.333091i
\(113\) −9.97901 4.13344i −0.938746 0.388841i −0.139756 0.990186i \(-0.544632\pi\)
−0.798990 + 0.601345i \(0.794632\pi\)
\(114\) 6.15548 7.79796i 0.576514 0.730346i
\(115\) −14.0766 + 7.52412i −1.31265 + 0.701628i
\(116\) 12.9985 6.78865i 1.20688 0.630311i
\(117\) −1.26686 8.63079i −0.117121 0.797917i
\(118\) 8.65679 10.4460i 0.796922 0.961628i
\(119\) −0.901961 + 0.179411i −0.0826827 + 0.0164466i
\(120\) −3.30253 10.5288i −0.301478 0.961141i
\(121\) −4.62202 + 23.2365i −0.420184 + 2.11241i
\(122\) −6.17945 0.638505i −0.559461 0.0578076i
\(123\) −8.52013 + 8.93537i −0.768234 + 0.805675i
\(124\) −3.75784 + 1.51456i −0.337464 + 0.136012i
\(125\) −11.0433 + 1.08767i −0.987746 + 0.0972845i
\(126\) 3.27153 + 3.00294i 0.291451 + 0.267523i
\(127\) 7.76343i 0.688893i 0.938806 + 0.344446i \(0.111933\pi\)
−0.938806 + 0.344446i \(0.888067\pi\)
\(128\) −1.83420 11.1640i −0.162122 0.986771i
\(129\) 3.88581 14.0001i 0.342126 1.23264i
\(130\) 9.07567 + 1.85047i 0.795988 + 0.162297i
\(131\) 1.64667 + 16.7189i 0.143870 + 1.46074i 0.747918 + 0.663791i \(0.231054\pi\)
−0.604048 + 0.796948i \(0.706446\pi\)
\(132\) 20.2747 2.28822i 1.76469 0.199164i
\(133\) −3.74397 2.00119i −0.324643 0.173525i
\(134\) −0.887390 + 8.58815i −0.0766588 + 0.741904i
\(135\) −6.23903 9.90235i −0.536970 0.852259i
\(136\) 2.43009 + 0.519761i 0.208378 + 0.0445691i
\(137\) −2.20234 11.0719i −0.188159 0.945939i −0.953288 0.302062i \(-0.902325\pi\)
0.765129 0.643877i \(-0.222675\pi\)
\(138\) −14.2467 + 9.91590i −1.21276 + 0.844098i
\(139\) −5.76760 + 4.73335i −0.489202 + 0.401477i −0.846397 0.532552i \(-0.821233\pi\)
0.357196 + 0.934030i \(0.383733\pi\)
\(140\) −4.17956 + 2.18283i −0.353237 + 0.184483i
\(141\) −2.26264 10.1119i −0.190549 0.851578i
\(142\) 16.5459 + 6.94653i 1.38850 + 0.582940i
\(143\) −6.55407 + 15.8229i −0.548079 + 1.32318i
\(144\) −4.90539 10.9516i −0.408782 0.912632i
\(145\) 6.32013 + 15.2581i 0.524858 + 1.26712i
\(146\) −0.0316996 + 6.62198i −0.00262348 + 0.548039i
\(147\) −5.47784 + 8.63594i −0.451805 + 0.712281i
\(148\) 10.0946 + 1.09191i 0.829773 + 0.0897546i
\(149\) 1.25726 12.7651i 0.102998 1.04576i −0.795253 0.606278i \(-0.792662\pi\)
0.898251 0.439483i \(-0.144838\pi\)
\(150\) 0.175658 0.0384232i 0.0143424 0.00313724i
\(151\) −1.47190 + 2.20285i −0.119781 + 0.179265i −0.886515 0.462700i \(-0.846881\pi\)
0.766734 + 0.641965i \(0.221881\pi\)
\(152\) 7.14941 + 8.97126i 0.579894 + 0.727665i
\(153\) 2.63281 0.125333i 0.212850 0.0101326i
\(154\) −2.49093 8.35529i −0.200725 0.673288i
\(155\) −1.32455 4.36645i −0.106390 0.350722i
\(156\) 10.0373 + 0.844762i 0.803626 + 0.0676351i
\(157\) 1.28132 + 1.05155i 0.102260 + 0.0839229i 0.684134 0.729356i \(-0.260180\pi\)
−0.581874 + 0.813279i \(0.697680\pi\)
\(158\) 7.67307 11.3654i 0.610436 0.904183i
\(159\) 18.9222 10.7003i 1.50063 0.848590i
\(160\) 12.7065 0.945068i 1.00454 0.0747141i
\(161\) 5.24478 + 5.24478i 0.413347 + 0.413347i
\(162\) −7.99727 9.90170i −0.628325 0.777951i
\(163\) 11.4402 + 9.38872i 0.896064 + 0.735381i 0.965003 0.262240i \(-0.0844611\pi\)
−0.0689383 + 0.997621i \(0.521961\pi\)
\(164\) −7.80658 11.9290i −0.609591 0.931501i
\(165\) 0.546475 + 22.9721i 0.0425431 + 1.78837i
\(166\) 7.17337 + 3.87851i 0.556762 + 0.301031i
\(167\) 17.0263 11.3766i 1.31754 0.880349i 0.319792 0.947488i \(-0.396387\pi\)
0.997744 + 0.0671386i \(0.0213870\pi\)
\(168\) −4.23656 + 2.88889i −0.326857 + 0.222883i
\(169\) 2.52503 3.77898i 0.194233 0.290691i
\(170\) −0.825229 + 2.67426i −0.0632922 + 0.205107i
\(171\) 9.76198 + 7.26299i 0.746517 + 0.555415i
\(172\) 14.7197 + 8.04996i 1.12237 + 0.613804i
\(173\) 1.42311 4.69138i 0.108197 0.356679i −0.886077 0.463538i \(-0.846580\pi\)
0.994274 + 0.106860i \(0.0340796\pi\)
\(174\) 8.76576 + 15.6758i 0.664531 + 1.18838i
\(175\) −0.0294038 0.0709872i −0.00222272 0.00536613i
\(176\) −2.75777 + 23.3979i −0.207875 + 1.76368i
\(177\) 13.0913 + 10.2326i 0.984002 + 0.769126i
\(178\) 3.07396 + 7.52285i 0.230403 + 0.563861i
\(179\) 14.0997 7.53643i 1.05386 0.563300i 0.148924 0.988849i \(-0.452419\pi\)
0.904935 + 0.425549i \(0.139919\pi\)
\(180\) 12.7743 4.41148i 0.952137 0.328812i
\(181\) −1.80573 + 1.48193i −0.134219 + 0.110151i −0.699108 0.715016i \(-0.746419\pi\)
0.564889 + 0.825167i \(0.308919\pi\)
\(182\) −0.401380 4.28549i −0.0297522 0.317661i
\(183\) 0.565483 7.58751i 0.0418017 0.560885i
\(184\) −7.40344 18.6256i −0.545789 1.37310i
\(185\) −2.23086 + 11.2153i −0.164016 + 0.824563i
\(186\) −1.98567 4.54752i −0.145597 0.333441i
\(187\) −4.56387 2.43944i −0.333743 0.178389i
\(188\) 11.9644 + 0.114551i 0.872597 + 0.00835447i
\(189\) −3.56187 + 4.11022i −0.259088 + 0.298975i
\(190\) −10.7764 + 7.12615i −0.781799 + 0.516985i
\(191\) 12.0566i 0.872386i −0.899853 0.436193i \(-0.856326\pi\)
0.899853 0.436193i \(-0.143674\pi\)
\(192\) 13.6033 2.63611i 0.981737 0.190245i
\(193\) 7.30055i 0.525505i −0.964863 0.262753i \(-0.915370\pi\)
0.964863 0.262753i \(-0.0846303\pi\)
\(194\) 5.31069 + 8.03097i 0.381285 + 0.576590i
\(195\) −1.94789 + 11.1756i −0.139491 + 0.800300i
\(196\) −8.26978 8.42966i −0.590698 0.602119i
\(197\) −17.2002 9.19372i −1.22547 0.655026i −0.273690 0.961818i \(-0.588244\pi\)
−0.951776 + 0.306792i \(0.900744\pi\)
\(198\) 3.51070 + 24.7412i 0.249495 + 1.75828i
\(199\) −2.62558 + 13.1997i −0.186122 + 0.935700i 0.768946 + 0.639314i \(0.220781\pi\)
−0.955068 + 0.296386i \(0.904219\pi\)
\(200\) −0.00298164 + 0.207607i −0.000210834 + 0.0146800i
\(201\) −10.5451 0.785903i −0.743791 0.0554333i
\(202\) 2.39877 0.224669i 0.168777 0.0158077i
\(203\) 5.93260 4.86876i 0.416387 0.341720i
\(204\) −0.551291 + 2.99321i −0.0385981 + 0.209567i
\(205\) 14.1599 7.56861i 0.988968 0.528614i
\(206\) −0.378784 + 0.154777i −0.0263911 + 0.0107838i
\(207\) −12.6379 17.0945i −0.878398 1.18815i
\(208\) −3.58880 + 11.0635i −0.248838 + 0.767117i
\(209\) −9.14179 22.0702i −0.632351 1.52663i
\(210\) −2.81855 5.04043i −0.194499 0.347823i
\(211\) 7.87720 25.9676i 0.542289 1.78769i −0.0705863 0.997506i \(-0.522487\pi\)
0.612875 0.790180i \(-0.290013\pi\)
\(212\) 7.05615 + 24.0888i 0.484618 + 1.65443i
\(213\) −7.92535 + 20.4993i −0.543036 + 1.40459i
\(214\) −10.2729 3.17001i −0.702238 0.216698i
\(215\) −10.4973 + 15.7102i −0.715907 + 1.07143i
\(216\) 13.2358 6.38857i 0.900582 0.434687i
\(217\) −1.76305 + 1.17803i −0.119683 + 0.0799698i
\(218\) −0.371470 + 0.687039i −0.0251591 + 0.0465322i
\(219\) −8.10804 + 0.192879i −0.547891 + 0.0130336i
\(220\) −25.9728 5.42532i −1.75109 0.365775i
\(221\) −1.97485 1.62072i −0.132843 0.109021i
\(222\) −0.983581 + 12.3965i −0.0660136 + 0.831998i
\(223\) −0.251929 0.251929i −0.0168704 0.0168704i 0.698621 0.715492i \(-0.253797\pi\)
−0.715492 + 0.698621i \(0.753797\pi\)
\(224\) −2.13432 5.52299i −0.142605 0.369021i
\(225\) 0.0531852 + 0.213704i 0.00354568 + 0.0142469i
\(226\) 12.6601 + 8.54715i 0.842137 + 0.568548i
\(227\) 5.44414 + 4.46789i 0.361340 + 0.296544i 0.797493 0.603328i \(-0.206159\pi\)
−0.436152 + 0.899873i \(0.643659\pi\)
\(228\) −10.7329 + 9.06651i −0.710802 + 0.600444i
\(229\) −7.14399 23.5506i −0.472088 1.55627i −0.793039 0.609170i \(-0.791503\pi\)
0.320951 0.947096i \(-0.395997\pi\)
\(230\) 21.6319 6.44904i 1.42636 0.425237i
\(231\) 10.1418 3.34185i 0.667279 0.219877i
\(232\) −19.9301 + 5.73451i −1.30848 + 0.376489i
\(233\) −5.81312 + 8.69995i −0.380830 + 0.569953i −0.971523 0.236944i \(-0.923854\pi\)
0.590693 + 0.806896i \(0.298854\pi\)
\(234\) −0.683015 + 12.3177i −0.0446501 + 0.805230i
\(235\) −1.32079 + 13.4102i −0.0861589 + 0.874786i
\(236\) −14.9471 + 12.0291i −0.972973 + 0.783031i
\(237\) 14.1825 + 8.99607i 0.921252 + 0.584357i
\(238\) 1.30054 + 0.00622572i 0.0843015 + 0.000403554i
\(239\) −6.79902 16.4143i −0.439792 1.06175i −0.976020 0.217679i \(-0.930151\pi\)
0.536228 0.844073i \(-0.319849\pi\)
\(240\) 1.60157 + 15.5228i 0.103381 + 1.00199i
\(241\) 9.72586 23.4803i 0.626497 1.51250i −0.217449 0.976072i \(-0.569774\pi\)
0.843947 0.536427i \(-0.180226\pi\)
\(242\) 12.9699 30.8930i 0.833736 1.98588i
\(243\) 11.8423 10.1371i 0.759684 0.650293i
\(244\) 8.38249 + 2.63070i 0.536634 + 0.168413i
\(245\) 10.2804 8.43694i 0.656794 0.539017i
\(246\) 14.3309 9.97453i 0.913707 0.635953i
\(247\) −2.30077 11.5667i −0.146394 0.735974i
\(248\) 5.63517 1.03701i 0.357833 0.0658502i
\(249\) −4.49727 + 8.91767i −0.285003 + 0.565134i
\(250\) 15.6101 + 1.61295i 0.987269 + 0.102012i
\(251\) −1.79872 0.961435i −0.113534 0.0606852i 0.413652 0.910435i \(-0.364253\pi\)
−0.527186 + 0.849750i \(0.676753\pi\)
\(252\) −3.68494 5.08551i −0.232129 0.320357i
\(253\) 4.09104 + 41.5371i 0.257202 + 2.61141i
\(254\) 2.19345 10.7578i 0.137629 0.675005i
\(255\) −3.30283 0.916716i −0.206831 0.0574070i
\(256\) −0.612585 + 15.9883i −0.0382865 + 0.999267i
\(257\) 16.7852i 1.04703i −0.852016 0.523517i \(-0.824620\pi\)
0.852016 0.523517i \(-0.175380\pi\)
\(258\) −9.34012 + 18.3021i −0.581490 + 1.13944i
\(259\) 5.28827 0.520849i 0.328597 0.0323640i
\(260\) −12.0534 5.12840i −0.747517 0.318050i
\(261\) −18.8844 + 11.2799i −1.16891 + 0.698208i
\(262\) 2.44190 23.6327i 0.150861 1.46003i
\(263\) 2.48368 12.4863i 0.153150 0.769938i −0.825500 0.564403i \(-0.809106\pi\)
0.978650 0.205535i \(-0.0658935\pi\)
\(264\) −28.7413 2.55755i −1.76890 0.157406i
\(265\) −27.7259 + 5.51502i −1.70319 + 0.338785i
\(266\) 4.62262 + 3.83086i 0.283431 + 0.234885i
\(267\) −9.10226 + 4.02649i −0.557049 + 0.246417i
\(268\) 3.65612 11.6499i 0.223333 0.711632i
\(269\) 18.1380 9.69497i 1.10589 0.591112i 0.185712 0.982604i \(-0.440541\pi\)
0.920182 + 0.391492i \(0.128041\pi\)
\(270\) 5.84767 + 15.4845i 0.355878 + 0.942355i
\(271\) 14.7140 + 6.09473i 0.893810 + 0.370228i 0.781837 0.623483i \(-0.214283\pi\)
0.111973 + 0.993711i \(0.464283\pi\)
\(272\) −3.22053 1.40682i −0.195273 0.0853011i
\(273\) 5.23244 0.641326i 0.316682 0.0388148i
\(274\) −0.0764232 + 15.9646i −0.00461689 + 0.964460i
\(275\) 0.125510 0.413751i 0.00756853 0.0249501i
\(276\) 22.5433 9.71529i 1.35695 0.584792i
\(277\) −2.01581 0.198540i −0.121118 0.0119291i 0.0372764 0.999305i \(-0.488132\pi\)
−0.158395 + 0.987376i \(0.550632\pi\)
\(278\) 9.32952 4.92946i 0.559548 0.295649i
\(279\) 5.49781 2.59006i 0.329145 0.155063i
\(280\) 6.40835 1.84388i 0.382972 0.110193i
\(281\) 14.3726 9.60345i 0.857396 0.572894i −0.0473339 0.998879i \(-0.515072\pi\)
0.904730 + 0.425985i \(0.140072\pi\)
\(282\) 0.278369 + 14.6514i 0.0165766 + 0.872479i
\(283\) 20.1598 6.11541i 1.19838 0.363524i 0.372853 0.927891i \(-0.378380\pi\)
0.825524 + 0.564367i \(0.190880\pi\)
\(284\) −20.9651 14.3006i −1.24405 0.848587i
\(285\) −9.10120 12.9436i −0.539108 0.766711i
\(286\) 13.5525 20.0741i 0.801378 1.18701i
\(287\) −5.27579 5.27579i −0.311420 0.311420i
\(288\) 3.70320 + 16.5616i 0.218213 + 0.975901i
\(289\) −11.4750 + 11.4750i −0.674998 + 0.674998i
\(290\) −4.44685 22.9289i −0.261128 1.34643i
\(291\) −9.64607 + 6.78257i −0.565462 + 0.397601i
\(292\) 1.91487 9.16715i 0.112060 0.536467i
\(293\) 2.85797 + 9.42146i 0.166964 + 0.550407i 0.999996 0.00281774i \(-0.000896914\pi\)
−0.833032 + 0.553225i \(0.813397\pi\)
\(294\) 10.0306 10.4192i 0.584998 0.607658i
\(295\) −12.0047 17.9663i −0.698941 1.04604i
\(296\) −13.6797 4.36516i −0.795114 0.253720i
\(297\) −30.1664 + 5.16360i −1.75043 + 0.299622i
\(298\) −5.34879 + 17.3335i −0.309847 + 1.00410i
\(299\) −2.01967 + 20.5060i −0.116800 + 1.18589i
\(300\) −0.254266 + 0.00361341i −0.0146800 + 0.000208620i
\(301\) 8.40224 + 2.54879i 0.484297 + 0.146910i
\(302\) 2.66199 2.63663i 0.153180 0.151721i
\(303\) 0.358978 + 2.92882i 0.0206227 + 0.168256i
\(304\) −7.37226 14.4515i −0.422828 0.828848i
\(305\) −3.78644 + 9.14127i −0.216811 + 0.523427i
\(306\) −3.68371 0.570190i −0.210584 0.0325956i
\(307\) −11.3533 21.2404i −0.647965 1.21226i −0.964602 0.263710i \(-0.915054\pi\)
0.316637 0.948547i \(-0.397446\pi\)
\(308\) 1.09103 + 12.2817i 0.0621670 + 0.699816i
\(309\) −0.202738 0.458309i −0.0115334 0.0260723i
\(310\) 0.601752 + 6.42484i 0.0341772 + 0.364906i
\(311\) 4.33770 + 21.8071i 0.245968 + 1.23657i 0.884342 + 0.466840i \(0.154607\pi\)
−0.638374 + 0.769727i \(0.720393\pi\)
\(312\) −13.6700 4.00648i −0.773913 0.226822i
\(313\) −7.06963 1.40624i −0.399599 0.0794852i −0.00880021 0.999961i \(-0.502801\pi\)
−0.390799 + 0.920476i \(0.627801\pi\)
\(314\) −1.47843 1.81916i −0.0834324 0.102661i
\(315\) 6.07210 3.62695i 0.342124 0.204356i
\(316\) −13.8437 + 13.5812i −0.778770 + 0.764000i
\(317\) 2.28661 + 23.2163i 0.128429 + 1.30396i 0.816090 + 0.577925i \(0.196138\pi\)
−0.687661 + 0.726032i \(0.741362\pi\)
\(318\) −29.2438 + 9.48126i −1.63991 + 0.531683i
\(319\) 43.1866 2.41799
\(320\) −17.8745 2.28047i −0.999215 0.127482i
\(321\) 3.52145 12.6874i 0.196548 0.708141i
\(322\) −5.78587 8.74955i −0.322434 0.487594i
\(323\) 3.54628 0.349278i 0.197320 0.0194344i
\(324\) 8.28426 + 15.9803i 0.460237 + 0.887796i
\(325\) 0.100620 0.188248i 0.00558142 0.0104421i
\(326\) −13.2001 16.2422i −0.731083 0.899574i
\(327\) −0.854101 0.430732i −0.0472319 0.0238195i
\(328\) 7.44721 + 18.7357i 0.411204 + 1.03451i
\(329\) 6.14157 1.22164i 0.338596 0.0673509i
\(330\) 5.73319 31.9869i 0.315602 1.76082i
\(331\) −2.31595 2.82199i −0.127296 0.155111i 0.705462 0.708748i \(-0.250740\pi\)
−0.832758 + 0.553637i \(0.813240\pi\)
\(332\) −8.84435 7.40120i −0.485397 0.406194i
\(333\) −15.2108 0.770420i −0.833545 0.0422188i
\(334\) −26.8077 + 10.9541i −1.46685 + 0.599380i
\(335\) 12.7045 + 5.26236i 0.694119 + 0.287513i
\(336\) 6.68682 2.80616i 0.364796 0.153089i
\(337\) 15.4828 6.41319i 0.843402 0.349349i 0.0812082 0.996697i \(-0.474122\pi\)
0.762194 + 0.647348i \(0.224122\pi\)
\(338\) −4.56664 + 4.52313i −0.248393 + 0.246026i
\(339\) −10.0209 + 15.7981i −0.544258 + 0.858035i
\(340\) 1.89910 3.47258i 0.102993 0.188327i
\(341\) −11.8744 1.16952i −0.643033 0.0633332i
\(342\) −11.4752 12.8225i −0.620505 0.693359i
\(343\) −11.2307 7.50414i −0.606403 0.405185i
\(344\) −18.1227 15.3137i −0.977111 0.825659i
\(345\) 8.65205 + 26.2571i 0.465811 + 1.41363i
\(346\) −3.29750 + 6.09877i −0.177274 + 0.327872i
\(347\) −16.3605 + 4.96291i −0.878278 + 0.266423i −0.697054 0.717019i \(-0.745506\pi\)
−0.181224 + 0.983442i \(0.558006\pi\)
\(348\) −7.71776 24.1987i −0.413715 1.29719i
\(349\) −5.79114 + 7.05653i −0.309993 + 0.377727i −0.904580 0.426304i \(-0.859815\pi\)
0.594587 + 0.804031i \(0.297315\pi\)
\(350\) 0.0206886 + 0.106675i 0.00110585 + 0.00570201i
\(351\) −15.1037 0.405213i −0.806177 0.0216287i
\(352\) 10.4322 31.6434i 0.556038 1.68660i
\(353\) −3.12844 + 3.12844i −0.166510 + 0.166510i −0.785443 0.618933i \(-0.787565\pi\)
0.618933 + 0.785443i \(0.287565\pi\)
\(354\) −15.2496 17.8780i −0.810506 0.950207i
\(355\) 18.1316 22.0934i 0.962326 1.17260i
\(356\) −2.13412 11.2929i −0.113108 0.598525i
\(357\) 0.0378810 + 1.59240i 0.00200488 + 0.0842787i
\(358\) −21.6673 + 6.45960i −1.14515 + 0.341400i
\(359\) −5.00480 7.49021i −0.264143 0.395318i 0.675562 0.737303i \(-0.263901\pi\)
−0.939706 + 0.341985i \(0.888901\pi\)
\(360\) −18.9477 + 2.50382i −0.998633 + 0.131963i
\(361\) −2.12050 1.41688i −0.111605 0.0745724i
\(362\) 2.92091 1.54333i 0.153520 0.0811154i
\(363\) 38.2744 + 14.7975i 2.00888 + 0.776665i
\(364\) −0.654611 + 6.05182i −0.0343109 + 0.317201i
\(365\) 10.0928 + 3.06163i 0.528283 + 0.160253i
\(366\) −2.92733 + 10.3543i −0.153014 + 0.541226i
\(367\) −6.69310 + 2.77237i −0.349377 + 0.144717i −0.550469 0.834856i \(-0.685551\pi\)
0.201092 + 0.979572i \(0.435551\pi\)
\(368\) 4.99657 + 27.9013i 0.260464 + 1.45446i
\(369\) 12.7127 + 17.1956i 0.661795 + 0.895166i
\(370\) 6.26002 14.9107i 0.325443 0.775173i
\(371\) 6.19258 + 11.5855i 0.321503 + 0.601489i
\(372\) 1.46672 + 6.86254i 0.0760457 + 0.355806i
\(373\) −7.97355 9.71580i −0.412855 0.503065i 0.524515 0.851401i \(-0.324247\pi\)
−0.937370 + 0.348336i \(0.886747\pi\)
\(374\) 5.63494 + 4.66980i 0.291376 + 0.241469i
\(375\) −1.42848 + 19.1670i −0.0737664 + 0.989780i
\(376\) −16.5468 3.53912i −0.853336 0.182516i
\(377\) 20.9107 + 4.15940i 1.07696 + 0.214220i
\(378\) 6.09698 4.68919i 0.313595 0.241186i
\(379\) −9.49151 + 17.7574i −0.487546 + 0.912135i 0.511070 + 0.859539i \(0.329249\pi\)
−0.998616 + 0.0525957i \(0.983251\pi\)
\(380\) 16.9462 6.83002i 0.869323 0.350373i
\(381\) 13.2469 + 2.30893i 0.678661 + 0.118290i
\(382\) −3.40643 + 16.7069i −0.174288 + 0.854799i
\(383\) 32.3407 1.65253 0.826265 0.563281i \(-0.190461\pi\)
0.826265 + 0.563281i \(0.190461\pi\)
\(384\) −19.5950 0.190562i −0.999953 0.00972458i
\(385\) −13.8863 −0.707711
\(386\) −2.06267 + 10.1164i −0.104987 + 0.514911i
\(387\) −22.7331 10.7942i −1.15559 0.548702i
\(388\) −5.09000 12.6290i −0.258406 0.641140i
\(389\) 4.53187 8.47853i 0.229775 0.429878i −0.740441 0.672122i \(-0.765383\pi\)
0.970216 + 0.242243i \(0.0778832\pi\)
\(390\) 5.85670 14.9357i 0.296566 0.756298i
\(391\) −6.10638 1.21463i −0.308813 0.0614267i
\(392\) 9.07777 + 14.0175i 0.458497 + 0.707992i
\(393\) 29.0177 + 2.16263i 1.46375 + 0.109090i
\(394\) 21.2369 + 17.5995i 1.06990 + 0.886648i
\(395\) −13.8557 16.8832i −0.697155 0.849486i
\(396\) 2.12548 35.2758i 0.106809 1.77268i
\(397\) 3.15644 + 5.90528i 0.158417 + 0.296378i 0.948591 0.316506i \(-0.102510\pi\)
−0.790174 + 0.612883i \(0.790010\pi\)
\(398\) 7.36765 17.5490i 0.369307 0.879652i
\(399\) −4.52818 + 5.79325i −0.226693 + 0.290025i
\(400\) 0.0627880 0.286839i 0.00313940 0.0143419i
\(401\) −30.6709 + 12.7043i −1.53163 + 0.634422i −0.979880 0.199588i \(-0.936040\pi\)
−0.551750 + 0.834010i \(0.686040\pi\)
\(402\) 14.3903 + 4.06838i 0.717721 + 0.202913i
\(403\) −5.63686 1.70992i −0.280792 0.0851773i
\(404\) −3.38746 0.366414i −0.168533 0.0182298i
\(405\) −18.7522 + 7.70075i −0.931804 + 0.382653i
\(406\) −9.59643 + 5.07049i −0.476263 + 0.251644i
\(407\) 24.8625 + 16.6126i 1.23239 + 0.823457i
\(408\) 1.60962 3.99194i 0.0796878 0.197631i
\(409\) −17.1101 25.6070i −0.846038 1.26619i −0.962032 0.272935i \(-0.912006\pi\)
0.115995 0.993250i \(-0.462994\pi\)
\(410\) −21.7598 + 6.48717i −1.07464 + 0.320379i
\(411\) −19.5473 + 0.465005i −0.964198 + 0.0229370i
\(412\) 0.568612 0.107455i 0.0280135 0.00529394i
\(413\) −6.37007 + 7.76196i −0.313451 + 0.381941i
\(414\) 12.6826 + 27.2586i 0.623317 + 1.33969i
\(415\) 9.18398 9.18398i 0.450824 0.450824i
\(416\) 8.09885 14.3168i 0.397079 0.701938i
\(417\) 6.36129 + 11.2492i 0.311514 + 0.550873i
\(418\) 6.43218 + 33.1657i 0.314608 + 1.62219i
\(419\) −25.4619 + 31.0254i −1.24389 + 1.51569i −0.469574 + 0.882893i \(0.655593\pi\)
−0.774319 + 0.632795i \(0.781907\pi\)
\(420\) 2.48158 + 7.78088i 0.121089 + 0.379668i
\(421\) −16.8852 + 5.12207i −0.822934 + 0.249634i −0.673547 0.739145i \(-0.735230\pi\)
−0.149387 + 0.988779i \(0.547730\pi\)
\(422\) −18.2522 + 33.7578i −0.888505 + 1.64331i
\(423\) −17.9272 + 0.853411i −0.871650 + 0.0414942i
\(424\) −2.97176 35.3736i −0.144321 1.71789i
\(425\) 0.0536263 + 0.0358320i 0.00260126 + 0.00173811i
\(426\) 16.7740 26.1668i 0.812702 1.26778i
\(427\) 4.57581 + 0.450678i 0.221439 + 0.0218099i
\(428\) 13.3395 + 7.29515i 0.644788 + 0.352624i
\(429\) 25.0498 + 15.8893i 1.20942 + 0.767142i
\(430\) 18.9848 18.8039i 0.915528 0.906804i
\(431\) 7.65550 3.17101i 0.368752 0.152742i −0.190609 0.981666i \(-0.561046\pi\)
0.559362 + 0.828924i \(0.311046\pi\)
\(432\) −20.1459 + 5.11307i −0.969269 + 0.246003i
\(433\) −16.1273 6.68016i −0.775030 0.321028i −0.0401218 0.999195i \(-0.512775\pi\)
−0.734908 + 0.678167i \(0.762775\pi\)
\(434\) 2.77589 1.13428i 0.133247 0.0544470i
\(435\) 27.9150 6.24627i 1.33842 0.299486i
\(436\) 0.708860 0.847079i 0.0339482 0.0405677i
\(437\) −18.2329 22.2169i −0.872200 1.06278i
\(438\) 11.2898 + 2.02354i 0.539449 + 0.0966884i
\(439\) 31.7192 6.30934i 1.51387 0.301128i 0.632878 0.774252i \(-0.281873\pi\)
0.880996 + 0.473123i \(0.156873\pi\)
\(440\) 34.4578 + 14.8561i 1.64271 + 0.708238i
\(441\) 13.1066 + 11.9154i 0.624122 + 0.567400i
\(442\) 2.27865 + 2.80380i 0.108384 + 0.133363i
\(443\) 16.7672 31.3692i 0.796634 1.49040i −0.0733437 0.997307i \(-0.523367\pi\)
0.869978 0.493091i \(-0.164133\pi\)
\(444\) 4.86541 16.9000i 0.230902 0.802037i
\(445\) 12.8810 1.26867i 0.610619 0.0601407i
\(446\) 0.277920 + 0.420278i 0.0131599 + 0.0199007i
\(447\) −21.4076 5.94178i −1.01254 0.281036i
\(448\) 1.39709 + 8.25625i 0.0660061 + 0.390071i
\(449\) 11.5031 0.542863 0.271432 0.962458i \(-0.412503\pi\)
0.271432 + 0.962458i \(0.412503\pi\)
\(450\) −0.0133199 0.311157i −0.000627904 0.0146681i
\(451\) −4.11523 41.7827i −0.193779 1.96747i
\(452\) −15.1283 15.4207i −0.711574 0.725331i
\(453\) 3.32102 + 3.16668i 0.156035 + 0.148784i
\(454\) −6.28163 7.72934i −0.294811 0.362756i
\(455\) −6.72366 1.33742i −0.315210 0.0626992i
\(456\) 17.4342 9.53107i 0.816431 0.446333i
\(457\) 1.50423 + 7.56228i 0.0703649 + 0.353748i 0.999887 0.0150175i \(-0.00478040\pi\)
−0.929522 + 0.368766i \(0.879780\pi\)
\(458\) 3.24557 + 34.6525i 0.151655 + 1.61921i
\(459\) 0.569168 4.52971i 0.0265665 0.211429i
\(460\) −31.7974 + 2.82467i −1.48256 + 0.131701i
\(461\) 13.3213 + 24.9225i 0.620437 + 1.16076i 0.974257 + 0.225442i \(0.0723825\pi\)
−0.353820 + 0.935313i \(0.615117\pi\)
\(462\) −14.9977 + 1.76539i −0.697755 + 0.0821335i
\(463\) −5.80294 + 14.0095i −0.269686 + 0.651078i −0.999468 0.0326005i \(-0.989621\pi\)
0.729783 + 0.683679i \(0.239621\pi\)
\(464\) 29.2374 2.31536i 1.35731 0.107488i
\(465\) −7.84452 + 0.961481i −0.363781 + 0.0445876i
\(466\) 10.5133 10.4131i 0.487020 0.482379i
\(467\) −9.04476 2.74370i −0.418541 0.126963i 0.0739877 0.997259i \(-0.476427\pi\)
−0.492529 + 0.870296i \(0.663927\pi\)
\(468\) 4.42664 16.8756i 0.204621 0.780077i
\(469\) 0.626349 6.35943i 0.0289221 0.293651i
\(470\) 5.61909 18.2094i 0.259190 0.839938i
\(471\) 2.17537 1.87360i 0.100236 0.0863311i
\(472\) 24.1109 12.4457i 1.10979 0.572861i
\(473\) 27.4498 + 41.0815i 1.26214 + 1.88893i
\(474\) −17.1110 16.4729i −0.785935 0.756627i
\(475\) 0.0864259 + 0.284908i 0.00396549 + 0.0130725i
\(476\) −1.80040 0.376077i −0.0825214 0.0172374i
\(477\) −12.6306 35.4698i −0.578314 1.62405i
\(478\) 4.78380 + 24.6663i 0.218806 + 1.12821i
\(479\) 8.41652 8.41652i 0.384561 0.384561i −0.488181 0.872742i \(-0.662340\pi\)
0.872742 + 0.488181i \(0.162340\pi\)
\(480\) 2.16647 21.9625i 0.0988852 1.00245i
\(481\) 10.4383 + 10.4383i 0.475945 + 0.475945i
\(482\) −20.1112 + 29.7888i −0.916039 + 1.35684i
\(483\) 10.5092 7.38945i 0.478184 0.336232i
\(484\) −26.7008 + 39.1440i −1.21367 + 1.77927i
\(485\) 14.6744 4.45142i 0.666329 0.202129i
\(486\) −19.2740 + 10.7011i −0.874286 + 0.485411i
\(487\) −2.31404 + 1.54619i −0.104859 + 0.0700646i −0.606894 0.794783i \(-0.707585\pi\)
0.502035 + 0.864847i \(0.332585\pi\)
\(488\) −10.8724 6.01372i −0.492169 0.272228i
\(489\) 19.4226 16.7284i 0.878322 0.756483i
\(490\) −16.6294 + 8.78651i −0.751239 + 0.396934i
\(491\) −0.968686 0.0954072i −0.0437162 0.00430567i 0.0761354 0.997097i \(-0.475742\pi\)
−0.119852 + 0.992792i \(0.538242\pi\)
\(492\) −22.6766 + 9.77273i −1.02234 + 0.440589i
\(493\) −1.87004 + 6.16470i −0.0842224 + 0.277644i
\(494\) −0.0798386 + 16.6781i −0.00359211 + 0.750384i
\(495\) 39.3604 + 5.89968i 1.76912 + 0.265171i
\(496\) −8.10166 0.155149i −0.363775 0.00696640i
\(497\) −12.2706 5.08266i −0.550413 0.227988i
\(498\) 8.75144 11.0866i 0.392161 0.496802i
\(499\) 32.6997 17.4784i 1.46384 0.782439i 0.468933 0.883234i \(-0.344639\pi\)
0.994907 + 0.100795i \(0.0321387\pi\)
\(500\) −21.1752 6.64548i −0.946985 0.297195i
\(501\) −14.3484 32.4360i −0.641040 1.44913i
\(502\) 2.22085 + 1.84047i 0.0991214 + 0.0821440i
\(503\) −23.5994 + 4.69422i −1.05225 + 0.209305i −0.690769 0.723076i \(-0.742728\pi\)
−0.361478 + 0.932381i \(0.617728\pi\)
\(504\) 3.66939 + 8.08813i 0.163448 + 0.360274i
\(505\) 0.748611 3.76352i 0.0333127 0.167474i
\(506\) 6.06674 58.7139i 0.269700 2.61015i
\(507\) −5.69720 5.43244i −0.253021 0.241263i
\(508\) −6.07893 + 14.2874i −0.269709 + 0.633901i
\(509\) −31.5951 + 3.11185i −1.40043 + 0.137930i −0.769865 0.638207i \(-0.779676\pi\)
−0.630564 + 0.776137i \(0.717176\pi\)
\(510\) 4.31773 + 2.20346i 0.191192 + 0.0975710i
\(511\) 4.90119i 0.216816i
\(512\) 5.36612 21.9819i 0.237151 0.971473i
\(513\) 15.2963 14.4970i 0.675350 0.640059i
\(514\) −4.74243 + 23.2593i −0.209179 + 1.02593i
\(515\) 0.0638790 + 0.648574i 0.00281484 + 0.0285796i
\(516\) 18.1136 22.7224i 0.797409 1.00030i
\(517\) 31.0760 + 16.6105i 1.36672 + 0.730527i
\(518\) −7.47513 0.772383i −0.328438 0.0339366i
\(519\) −7.58177 3.82356i −0.332803 0.167836i
\(520\) 15.2534 + 10.5120i 0.668906 + 0.460980i
\(521\) 3.43429 + 17.2653i 0.150459 + 0.756408i 0.980161 + 0.198202i \(0.0635102\pi\)
−0.829702 + 0.558206i \(0.811490\pi\)
\(522\) 29.3551 10.2951i 1.28484 0.450603i
\(523\) 2.73551 2.24497i 0.119615 0.0981658i −0.572684 0.819776i \(-0.694098\pi\)
0.692299 + 0.721610i \(0.256598\pi\)
\(524\) −10.0608 + 32.0580i −0.439510 + 1.40046i
\(525\) −0.129872 + 0.0290602i −0.00566809 + 0.00126829i
\(526\) −6.96947 + 16.6006i −0.303883 + 0.723819i
\(527\) 0.681121 1.64437i 0.0296701 0.0716299i
\(528\) 39.1043 + 11.6644i 1.70179 + 0.507630i
\(529\) 10.4149 + 25.1439i 0.452824 + 1.09321i
\(530\) 39.9780 + 0.191376i 1.73653 + 0.00831284i
\(531\) 21.3536 19.2947i 0.926665 0.837320i
\(532\) −5.32322 6.61450i −0.230791 0.286775i
\(533\) 2.03161 20.6273i 0.0879987 0.893466i
\(534\) 13.7507 3.00780i 0.595049 0.130160i
\(535\) −9.51297 + 14.2372i −0.411281 + 0.615526i
\(536\) −8.35782 + 15.1103i −0.361003 + 0.652667i
\(537\) −8.66622 26.3001i −0.373975 1.13493i
\(538\) −27.8731 + 8.30971i −1.20169 + 0.358257i
\(539\) −10.0952 33.2793i −0.434830 1.43344i
\(540\) −3.72822 23.1091i −0.160437 0.994455i
\(541\) 13.8277 + 11.3481i 0.594500 + 0.487893i 0.882865 0.469627i \(-0.155612\pi\)
−0.288365 + 0.957521i \(0.593112\pi\)
\(542\) −18.6672 12.6027i −0.801826 0.541333i
\(543\) 1.99161 + 3.52191i 0.0854680 + 0.151140i
\(544\) 4.06522 + 2.85935i 0.174295 + 0.122594i
\(545\) 0.879608 + 0.879608i 0.0376783 + 0.0376783i
\(546\) −7.43181 0.589666i −0.318052 0.0252354i
\(547\) 14.6939 + 12.0589i 0.628265 + 0.515603i 0.893781 0.448503i \(-0.148043\pi\)
−0.265517 + 0.964106i \(0.585543\pi\)
\(548\) 4.61649 22.1007i 0.197207 0.944094i
\(549\) −12.7786 3.22150i −0.545376 0.137490i
\(550\) −0.290819 + 0.537875i −0.0124006 + 0.0229351i
\(551\) −24.7265 + 16.5217i −1.05338 + 0.703848i
\(552\) −33.9832 + 7.09322i −1.44642 + 0.301908i
\(553\) −5.63874 + 8.43897i −0.239784 + 0.358862i
\(554\) 2.73722 + 0.844656i 0.116293 + 0.0358860i
\(555\) 18.4734 + 7.14211i 0.784153 + 0.303166i
\(556\) −14.3207 + 4.19484i −0.607333 + 0.177901i
\(557\) −1.17062 + 3.85901i −0.0496006 + 0.163511i −0.978242 0.207468i \(-0.933478\pi\)
0.928641 + 0.370979i \(0.120978\pi\)
\(558\) −8.35012 + 2.03572i −0.353489 + 0.0861790i
\(559\) 9.33437 + 22.5352i 0.394802 + 0.953135i
\(560\) −9.40104 + 0.744484i −0.397266 + 0.0314602i
\(561\) −5.51982 + 7.06193i −0.233047 + 0.298155i
\(562\) −22.6294 + 9.24676i −0.954566 + 0.390051i
\(563\) 16.6977 8.92511i 0.703724 0.376149i −0.0803911 0.996763i \(-0.525617\pi\)
0.784116 + 0.620615i \(0.213117\pi\)
\(564\) 3.75381 20.3812i 0.158064 0.858202i
\(565\) 18.8065 15.4341i 0.791194 0.649316i
\(566\) −29.6633 + 2.77828i −1.24684 + 0.116780i
\(567\) 5.95404 + 7.30013i 0.250046 + 0.306577i
\(568\) 25.0110 + 25.7398i 1.04944 + 1.08002i
\(569\) −0.0478189 + 0.240402i −0.00200467 + 0.0100782i −0.981775 0.190049i \(-0.939135\pi\)
0.979770 + 0.200127i \(0.0641354\pi\)
\(570\) 8.95453 + 20.5074i 0.375064 + 0.858959i
\(571\) −35.7240 19.0949i −1.49500 0.799095i −0.497347 0.867552i \(-0.665692\pi\)
−0.997654 + 0.0684570i \(0.978192\pi\)
\(572\) −24.4514 + 23.9877i −1.02237 + 1.00298i
\(573\) −20.5725 3.58577i −0.859429 0.149798i
\(574\) 5.82008 + 8.80129i 0.242926 + 0.367359i
\(575\) 0.520188i 0.0216933i
\(576\) −0.452288 23.9957i −0.0188453 0.999822i
\(577\) 25.3009i 1.05329i −0.850085 0.526646i \(-0.823449\pi\)
0.850085 0.526646i \(-0.176551\pi\)
\(578\) 19.1430 12.6588i 0.796244 0.526537i
\(579\) −12.4571 2.17126i −0.517700 0.0902346i
\(580\) −0.316229 + 33.0291i −0.0131307 + 1.37146i
\(581\) −5.32291 2.84516i −0.220832 0.118037i
\(582\) 15.2829 6.67327i 0.633497 0.276616i
\(583\) −14.4215 + 72.5017i −0.597277 + 3.00271i
\(584\) −5.24350 + 12.1619i −0.216977 + 0.503264i
\(585\) 18.4899 + 6.64748i 0.764461 + 0.274839i
\(586\) −1.29840 13.8628i −0.0536362 0.572668i
\(587\) 0.0462619 0.0379662i 0.00190943 0.00156703i −0.633438 0.773793i \(-0.718357\pi\)
0.635348 + 0.772226i \(0.280857\pi\)
\(588\) −16.8433 + 11.6039i −0.694605 + 0.478535i
\(589\) 7.24607 3.87310i 0.298569 0.159588i
\(590\) 11.5588 + 28.2877i 0.475869 + 1.16459i
\(591\) −20.8030 + 26.6149i −0.855722 + 1.09479i
\(592\) 17.7226 + 9.91381i 0.728395 + 0.407455i
\(593\) 4.20251 + 10.1457i 0.172576 + 0.416636i 0.986375 0.164510i \(-0.0526044\pi\)
−0.813799 + 0.581146i \(0.802604\pi\)
\(594\) 43.2606 + 1.36789i 1.77500 + 0.0561252i
\(595\) 0.601296 1.98221i 0.0246507 0.0812625i
\(596\) 12.3092 22.5078i 0.504203 0.921956i
\(597\) 21.7421 + 8.40581i 0.889843 + 0.344027i
\(598\) 8.59234 27.8446i 0.351367 1.13865i
\(599\) −22.2538 + 33.3052i −0.909267 + 1.36081i 0.0232652 + 0.999729i \(0.492594\pi\)
−0.932533 + 0.361086i \(0.882406\pi\)
\(600\) 0.353358 + 0.0668321i 0.0144258 + 0.00272841i
\(601\) 27.8782 18.6276i 1.13718 0.759837i 0.163224 0.986589i \(-0.447811\pi\)
0.973953 + 0.226752i \(0.0728106\pi\)
\(602\) −10.9229 5.90580i −0.445184 0.240703i
\(603\) −4.47722 + 17.7596i −0.182326 + 0.723225i
\(604\) −4.43367 + 2.90148i −0.180404 + 0.118059i
\(605\) −41.2507 33.8536i −1.67708 1.37634i
\(606\) 0.330061 4.15990i 0.0134078 0.168985i
\(607\) −22.5132 22.5132i −0.913785 0.913785i 0.0827830 0.996568i \(-0.473619\pi\)
−0.996568 + 0.0827830i \(0.973619\pi\)
\(608\) 6.13270 + 22.1084i 0.248714 + 0.896613i
\(609\) −6.54327 11.5710i −0.265147 0.468880i
\(610\) 7.82961 11.5973i 0.317012 0.469560i
\(611\) 13.4470 + 11.0357i 0.544008 + 0.446456i
\(612\) 4.94343 + 1.83089i 0.199826 + 0.0740095i
\(613\) 4.68688 + 15.4506i 0.189301 + 0.624043i 0.999293 + 0.0376015i \(0.0119717\pi\)
−0.809991 + 0.586442i \(0.800528\pi\)
\(614\) 9.73105 + 32.6407i 0.392713 + 1.31727i
\(615\) −8.70321 26.4123i −0.350947 1.06505i
\(616\) 1.95819 17.3271i 0.0788977 0.698128i
\(617\) 22.9056 34.2807i 0.922146 1.38009i −0.00280215 0.999996i \(-0.500892\pi\)
0.924948 0.380093i \(-0.124108\pi\)
\(618\) 0.151446 + 0.692361i 0.00609205 + 0.0278508i
\(619\) 1.08615 11.0278i 0.0436559 0.443246i −0.948366 0.317179i \(-0.897265\pi\)
0.992022 0.126067i \(-0.0402355\pi\)
\(620\) 0.981398 9.07293i 0.0394139 0.364378i
\(621\) −32.9275 + 16.4804i −1.32133 + 0.661334i
\(622\) 0.150522 31.4437i 0.00603537 1.26078i
\(623\) −2.30176 5.55694i −0.0922180 0.222634i
\(624\) 17.8106 + 9.41407i 0.712995 + 0.376864i
\(625\) 9.70548 23.4311i 0.388219 0.937244i
\(626\) 9.39910 + 3.94605i 0.375664 + 0.157716i
\(627\) −40.3779 + 9.03495i −1.61254 + 0.360821i
\(628\) 1.53468 + 2.93852i 0.0612405 + 0.117260i
\(629\) −3.44796 + 2.82967i −0.137479 + 0.112826i
\(630\) −9.43888 + 3.31029i −0.376054 + 0.131885i
\(631\) 1.60542 + 8.07100i 0.0639108 + 0.321301i 0.999494 0.0318047i \(-0.0101255\pi\)
−0.935583 + 0.353106i \(0.885125\pi\)
\(632\) 23.0205 14.9081i 0.915705 0.593012i
\(633\) −41.9665 21.1641i −1.66802 0.841198i
\(634\) 3.39088 32.8170i 0.134669 1.30333i
\(635\) −15.4217 8.24309i −0.611993 0.327117i
\(636\) 43.2020 4.87580i 1.71307 0.193338i
\(637\) −1.68282 17.0859i −0.0666757 0.676969i
\(638\) −59.8439 12.2018i −2.36924 0.483073i
\(639\) 32.6214 + 19.6199i 1.29048 + 0.776153i
\(640\) 24.1244 + 8.21024i 0.953602 + 0.324538i
\(641\) 3.44031i 0.135884i 0.997689 + 0.0679420i \(0.0216433\pi\)
−0.997689 + 0.0679420i \(0.978357\pi\)
\(642\) −8.46433 + 16.5860i −0.334061 + 0.654598i
\(643\) −14.9319 + 1.47067i −0.588858 + 0.0579975i −0.388058 0.921635i \(-0.626854\pi\)
−0.200800 + 0.979632i \(0.564354\pi\)
\(644\) 5.54544 + 13.7590i 0.218521 + 0.542181i
\(645\) 23.6848 + 22.5841i 0.932588 + 0.889249i
\(646\) −5.01278 0.517956i −0.197225 0.0203787i
\(647\) −4.72510 + 23.7547i −0.185763 + 0.933894i 0.769615 + 0.638508i \(0.220448\pi\)
−0.955378 + 0.295386i \(0.904552\pi\)
\(648\) −6.96451 24.4846i −0.273592 0.961846i
\(649\) −55.4178 + 11.0233i −2.17534 + 0.432702i
\(650\) −0.192617 + 0.232426i −0.00755505 + 0.00911651i
\(651\) 1.48575 + 3.35869i 0.0582313 + 0.131637i
\(652\) 13.7023 + 26.2364i 0.536625 + 1.02750i
\(653\) −5.39074 + 2.88141i −0.210956 + 0.112758i −0.573491 0.819212i \(-0.694411\pi\)
0.362535 + 0.931970i \(0.381911\pi\)
\(654\) 1.06183 + 0.838181i 0.0415210 + 0.0327755i
\(655\) −34.9599 14.4809i −1.36600 0.565814i
\(656\) −5.02611 28.0663i −0.196237 1.09580i
\(657\) −2.08230 + 13.8923i −0.0812384 + 0.541991i
\(658\) −8.85556 0.0423918i −0.345225 0.00165260i
\(659\) 10.6518 35.1143i 0.414935 1.36786i −0.461843 0.886962i \(-0.652812\pi\)
0.876778 0.480896i \(-0.159688\pi\)
\(660\) −16.9819 + 42.7045i −0.661021 + 1.66227i
\(661\) 36.3300 + 3.57819i 1.41307 + 0.139175i 0.775564 0.631268i \(-0.217465\pi\)
0.637508 + 0.770444i \(0.279965\pi\)
\(662\) 2.41191 + 4.56478i 0.0937414 + 0.177415i
\(663\) −3.35281 + 2.88772i −0.130213 + 0.112150i
\(664\) 10.1645 + 12.7547i 0.394461 + 0.494979i
\(665\) 7.95058 5.31240i 0.308310 0.206006i
\(666\) 20.8599 + 5.36516i 0.808306 + 0.207896i
\(667\) 49.7211 15.0827i 1.92521 0.584006i
\(668\) 40.2425 7.60495i 1.55703 0.294244i
\(669\) −0.504799 + 0.354947i −0.0195167 + 0.0137230i
\(670\) −16.1178 10.8815i −0.622685 0.420390i
\(671\) 18.2953 + 18.2953i 0.706281 + 0.706281i
\(672\) −10.0588 + 1.99924i −0.388026 + 0.0771225i
\(673\) −5.60260 + 5.60260i −0.215964 + 0.215964i −0.806795 0.590831i \(-0.798800\pi\)
0.590831 + 0.806795i \(0.298800\pi\)
\(674\) −23.2665 + 4.51233i −0.896193 + 0.173808i
\(675\) 0.380467 0.0271934i 0.0146442 0.00104668i
\(676\) 7.60596 4.97748i 0.292537 0.191441i
\(677\) 6.64916 + 21.9194i 0.255548 + 0.842429i 0.987026 + 0.160563i \(0.0513311\pi\)
−0.731477 + 0.681866i \(0.761169\pi\)
\(678\) 18.3495 19.0602i 0.704707 0.732004i
\(679\) −3.95901 5.92508i −0.151933 0.227384i
\(680\) −3.61271 + 4.27540i −0.138541 + 0.163954i
\(681\) 9.24282 7.96068i 0.354186 0.305054i
\(682\) 16.1239 + 4.97555i 0.617416 + 0.190523i
\(683\) 1.56608 15.9007i 0.0599243 0.608422i −0.917586 0.397536i \(-0.869865\pi\)
0.977511 0.210885i \(-0.0676347\pi\)
\(684\) 12.2783 + 21.0103i 0.469474 + 0.803347i
\(685\) 24.3324 + 7.38114i 0.929691 + 0.282019i
\(686\) 13.4423 + 13.5716i 0.513228 + 0.518166i
\(687\) −42.3097 + 5.18578i −1.61421 + 0.197850i
\(688\) 20.7860 + 26.3406i 0.792460 + 1.00422i
\(689\) −13.9656 + 33.7159i −0.532047 + 1.28448i
\(690\) −4.57061 38.8290i −0.174000 1.47820i
\(691\) 24.1618 + 45.2036i 0.919159 + 1.71963i 0.655812 + 0.754924i \(0.272326\pi\)
0.263347 + 0.964701i \(0.415174\pi\)
\(692\) 6.29247 7.51943i 0.239204 0.285846i
\(693\) −2.68601 18.2991i −0.102033 0.695124i
\(694\) 24.0730 2.25468i 0.913799 0.0855866i
\(695\) −3.27865 16.4829i −0.124366 0.625232i
\(696\) 3.85752 + 35.7128i 0.146219 + 1.35369i
\(697\) 6.14248 + 1.22182i 0.232663 + 0.0462796i
\(698\) 10.0185 8.14205i 0.379207 0.308181i
\(699\) 13.1161 + 12.5065i 0.496095 + 0.473041i
\(700\) 0.00147123 0.153665i 5.56072e−5 0.00580799i
\(701\) 1.56364 + 15.8759i 0.0590579 + 0.599625i 0.978478 + 0.206349i \(0.0661582\pi\)
−0.919421 + 0.393276i \(0.871342\pi\)
\(702\) 20.8148 + 4.82885i 0.785604 + 0.182253i
\(703\) −20.5904 −0.776582
\(704\) −23.3963 + 40.9009i −0.881782 + 1.54151i
\(705\) 22.4894 + 6.24204i 0.846999 + 0.235089i
\(706\) 5.21899 3.45119i 0.196419 0.129887i
\(707\) −1.77459 + 0.174782i −0.0667402 + 0.00657334i
\(708\) 16.0802 + 29.0822i 0.604331 + 1.09298i
\(709\) −5.44160 + 10.1805i −0.204364 + 0.382338i −0.963135 0.269020i \(-0.913300\pi\)
0.758771 + 0.651358i \(0.225800\pi\)
\(710\) −31.3672 + 25.4921i −1.17719 + 0.956701i
\(711\) 19.5682 21.5244i 0.733866 0.807229i
\(712\) −0.233405 + 16.2516i −0.00874723 + 0.609056i
\(713\) −14.0795 + 2.80058i −0.527281 + 0.104883i
\(714\) 0.397418 2.21729i 0.0148730 0.0829802i
\(715\) −24.4726 29.8199i −0.915222 1.11520i
\(716\) 31.8495 2.82930i 1.19027 0.105736i
\(717\) −30.0302 + 6.71956i −1.12150 + 0.250947i
\(718\) 4.81891 + 11.7932i 0.179840 + 0.440120i
\(719\) 2.33110 + 0.965573i 0.0869354 + 0.0360098i 0.425727 0.904852i \(-0.360018\pi\)
−0.338792 + 0.940861i \(0.610018\pi\)
\(720\) 26.9633 + 1.88387i 1.00486 + 0.0702076i
\(721\) 0.279798 0.115896i 0.0104202 0.00431620i
\(722\) 2.53807 + 2.56249i 0.0944572 + 0.0953659i
\(723\) −37.1724 23.5788i −1.38246 0.876904i
\(724\) −4.48356 + 1.31333i −0.166630 + 0.0488096i
\(725\) −0.535650 0.0527570i −0.0198936 0.00195934i
\(726\) −48.8561 31.3188i −1.81322 1.16235i
\(727\) 7.09062 + 4.73780i 0.262976 + 0.175715i 0.680068 0.733149i \(-0.261950\pi\)
−0.417091 + 0.908865i \(0.636950\pi\)
\(728\) 2.61695 8.20107i 0.0969907 0.303952i
\(729\) −13.7751 23.2217i −0.510189 0.860062i
\(730\) −13.1206 7.09409i −0.485617 0.262564i
\(731\) −7.05281 + 2.13945i −0.260858 + 0.0791303i
\(732\) 6.98187 13.5209i 0.258057 0.499745i
\(733\) 25.9445 31.6135i 0.958282 1.16767i −0.0274973 0.999622i \(-0.508754\pi\)
0.985779 0.168048i \(-0.0537462\pi\)
\(734\) 10.0579 1.95065i 0.371246 0.0719996i
\(735\) −11.3387 20.0510i −0.418233 0.739593i
\(736\) 0.959368 40.0747i 0.0353628 1.47717i
\(737\) 25.4266 25.4266i 0.936602 0.936602i
\(738\) −12.7576 27.4198i −0.469615 1.00934i
\(739\) −17.7333 + 21.6081i −0.652331 + 0.794868i −0.989183 0.146690i \(-0.953138\pi\)
0.336851 + 0.941558i \(0.390638\pi\)
\(740\) −12.8874 + 18.8932i −0.473749 + 0.694527i
\(741\) −20.4209 + 0.485786i −0.750181 + 0.0178458i
\(742\) −5.30776 17.8037i −0.194854 0.653594i
\(743\) 0.00431019 + 0.00645065i 0.000158125 + 0.000236651i 0.831549 0.555452i \(-0.187455\pi\)
−0.831391 + 0.555689i \(0.812455\pi\)
\(744\) −0.0935173 9.92385i −0.00342851 0.363826i
\(745\) 24.0225 + 16.0513i 0.880116 + 0.588075i
\(746\) 8.30392 + 15.7160i 0.304028 + 0.575405i
\(747\) 13.8789 + 10.3260i 0.507803 + 0.377809i
\(748\) −6.48897 8.06302i −0.237260 0.294813i
\(749\) 7.61440 + 2.30980i 0.278224 + 0.0843983i
\(750\) 7.39482 26.1562i 0.270021 0.955089i
\(751\) 36.7525 15.2234i 1.34112 0.555509i 0.407312 0.913289i \(-0.366466\pi\)
0.933806 + 0.357780i \(0.116466\pi\)
\(752\) 21.9290 + 9.57923i 0.799669 + 0.349319i
\(753\) −2.17548 + 2.78326i −0.0792789 + 0.101428i
\(754\) −27.8009 11.6717i −1.01245 0.425059i
\(755\) −2.81303 5.26281i −0.102377 0.191533i
\(756\) −9.77347 + 4.77522i −0.355458 + 0.173673i
\(757\) −20.6992 25.2220i −0.752323 0.916709i 0.246298 0.969194i \(-0.420786\pi\)
−0.998622 + 0.0524853i \(0.983286\pi\)
\(758\) 18.1695 21.9248i 0.659947 0.796343i
\(759\) 72.0925 + 5.37292i 2.61679 + 0.195025i
\(760\) −25.4122 + 4.67647i −0.921796 + 0.169633i
\(761\) 44.2788 + 8.80759i 1.60510 + 0.319275i 0.914695 0.404145i \(-0.132431\pi\)
0.690409 + 0.723420i \(0.257431\pi\)
\(762\) −17.7040 6.94222i −0.641347 0.251490i
\(763\) 0.272499 0.509809i 0.00986511 0.0184563i
\(764\) 9.44060 22.1884i 0.341549 0.802747i
\(765\) −2.54651 + 5.36306i −0.0920694 + 0.193902i
\(766\) −44.8146 9.13740i −1.61922 0.330148i
\(767\) −27.8946 −1.00722
\(768\) 27.0990 + 5.80035i 0.977851 + 0.209302i
\(769\) 22.4786 0.810600 0.405300 0.914184i \(-0.367167\pi\)
0.405300 + 0.914184i \(0.367167\pi\)
\(770\) 19.2423 + 3.92338i 0.693443 + 0.141389i
\(771\) −28.6410 4.99210i −1.03148 0.179786i
\(772\) 5.71649 13.4356i 0.205741 0.483556i
\(773\) 10.0402 18.7838i 0.361119 0.675607i